Three capacitors having capacitances 20 μF, 30 μF and 40 μF are connected in series with a 12 V battery. Find the charge on each of the capacitors. How much work has been done by the battery in charging the capacitors?
Given
Capacitance of the C1 capacitor = 20μF
Capacitance of the C2 capacitor = 30μF
Capacitance of the C3 capacitor = 40μF
All the Capacitors are connected in series.
Formula used :
Equalent capacitance is
Capacitors are connected in series, so the charge on each of them is the same .
Formula used:
Charge can be calculated as
Where
Q is the charge on the capacitor
Ceq is the equivalent Capacitance
V is the voltage
Work done by the battery is
Where
W is the work done by the battery
Q is the charge on the capacitor
V is the voltage across the end of the capacitor
Charge on capacitors 20μF, 30μF and 40μF are 110.76μC.
Work is done by the battery W